%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : HEN012-3 : TPTP v9.0.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n027.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Jul 24 06:32:33 PM UTC 2025
% Result : Unsatisfiable 0.13s 0.48s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named prove_a_LE_a)
% Comments :
%------------------------------------------------------------------------------
cnf(7,plain,
~ less_equal(a,a),
inference(cnf,[status(esa)],[prove_a_LE_a]) ).
cnf(l0,plain,
~ less_equal(a,a),
inference(instantiation,[status(thm)],[7]) ).
cnf(1,plain,
( divide(X0,X1) != zero
| less_equal(X0,X1) ),
inference(cnf,[status(esa)],[quotient_less_equal2]) ).
cnf(l1,plain,
( divide(a,a) != zero
| less_equal(a,a) ),
inference(instantiation,[status(thm)],[1]) ).
cnf(5,plain,
( ~ less_equal(X0,X1)
| ~ less_equal(X1,X0)
| X0 = X1 ),
inference(cnf,[status(esa)],[less_equal_and_equal]) ).
cnf(l2,plain,
( ~ less_equal(divide(a,a),zero)
| ~ less_equal(zero,divide(a,a))
| divide(a,a) = zero ),
inference(instantiation,[status(thm)],[5]) ).
cnf(l3,plain,
( divide(divide(a,a),zero) != zero
| less_equal(divide(a,a),zero) ),
inference(instantiation,[status(thm)],[1]) ).
cnf(l4,plain,
( divide(zero,divide(a,a)) != zero
| less_equal(zero,divide(a,a)) ),
inference(instantiation,[status(thm)],[1]) ).
cnf(l5,plain,
( ~ less_equal(divide(divide(a,a),zero),zero)
| ~ less_equal(zero,divide(divide(a,a),zero))
| divide(divide(a,a),zero) = zero ),
inference(instantiation,[status(thm)],[5]) ).
cnf(4,plain,
less_equal(zero,X0),
inference(cnf,[status(esa)],[zero_is_smallest]) ).
cnf(l66,plain,
less_equal(zero,divide(divide(a,a),zero)),
inference(instantiation,[status(thm)],[4]) ).
cnf(0,plain,
( ~ less_equal(X0,X1)
| divide(X0,X1) = zero ),
inference(cnf,[status(esa)],[quotient_less_equal1]) ).
cnf(l24,plain,
( ~ less_equal(divide(divide(a,a),identity),divide(a,a))
| divide(divide(divide(a,a),identity),divide(a,a)) = zero ),
inference(instantiation,[status(thm)],[0]) ).
cnf(2,plain,
less_equal(divide(X0,X1),X0),
inference(cnf,[status(esa)],[quotient_smaller_than_numerator]) ).
cnf(l29,plain,
less_equal(divide(divide(a,a),identity),divide(a,a)),
inference(instantiation,[status(thm)],[2]) ).
cnf(l25,plain,
( ~ less_equal(divide(a,a),identity)
| divide(divide(a,a),identity) = zero ),
inference(instantiation,[status(thm)],[0]) ).
cnf(6,plain,
less_equal(X0,identity),
inference(cnf,[status(esa)],[identity_is_largest]) ).
cnf(l30,plain,
less_equal(divide(a,a),identity),
inference(instantiation,[status(thm)],[6]) ).
cnf(l70,plain,
( ~ less_equal(divide(a,zero),a)
| divide(divide(a,zero),a) = zero ),
inference(instantiation,[status(thm)],[0]) ).
cnf(3,plain,
less_equal(divide(divide(X0,X1),divide(X2,X1)),divide(divide(X0,X2),X1)),
inference(cnf,[status(esa)],[quotient_property]) ).
cnf(l71,plain,
less_equal(divide(divide(a,a),divide(zero,a)),divide(divide(a,zero),a)),
inference(instantiation,[status(thm)],[3]) ).
cnf(l42,plain,
( ~ less_equal(divide(zero,a),zero)
| ~ less_equal(zero,divide(zero,a))
| divide(zero,a) = zero ),
inference(instantiation,[status(thm)],[5]) ).
cnf(l44,plain,
less_equal(zero,divide(zero,a)),
inference(instantiation,[status(thm)],[4]) ).
cnf(l74,plain,
less_equal(divide(a,zero),a),
inference(instantiation,[status(thm)],[2]) ).
cnf(l57,plain,
less_equal(divide(zero,a),zero),
inference(instantiation,[status(thm)],[2]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l2,l3,l4,l5,l66,l24,l29,l25,l30,l70,l71,l42,l44,l74,l57]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.09 % Problem : HEN012-3 : TPTP v9.0.0. Released v1.0.0.
% 0.04/0.09 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.29 % Computer : n027.cluster.edu
% 0.08/0.29 % Model : x86_64 x86_64
% 0.08/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.29 % Memory : 8042.1875MB
% 0.08/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.29 % CPULimit : 300
% 0.08/0.29 % WCLimit : 300
% 0.08/0.29 % DateTime : Sun Jul 20 17:41:49 EDT 2025
% 0.08/0.29 % CPUTime :
% 0.08/0.29 % launching worker at depth: 2
% 0.08/0.29 % launching worker at depth: 3
% 0.08/0.29 % launching worker at depth: 4
% 0.08/0.29 % launching worker at depth: 1
% 0.08/0.29 % launching worker at depth: 5
% 0.08/0.29 % launching worker at depth: 6
% 0.08/0.29 % launching worker at depth: 7
% 0.08/0.29 % launching worker at depth: 8
% 0.08/0.29 % launching worker at depth: 9
% 0.08/0.29 % launching worker at depth: 10
% 0.08/0.30 % launching worker at depth: 11
% 0.13/0.32 % launching worker at depth: 12
% 0.13/0.39 % launching worker at depth: 13
% 0.13/0.48 % SZS status Theorem for theBenchmark
% 0.13/0.48 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------